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dc.contributor.author | Craster R. | |
dc.contributor.author | Obnosov Y. | |
dc.date.accessioned | 2018-09-18T20:31:04Z | |
dc.date.available | 2018-09-18T20:31:04Z | |
dc.date.issued | 2006 | |
dc.identifier.issn | 0033-5614 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/140695 | |
dc.description.abstract | Two-dimensional multi-phase doubly-periodic composites are considered with the emphasis upon a structure that is a four-phased square checkerboard. The structure of the checkerboard is such that it reduces to an oft-studied two-phase checkerboard on two scales; as such it is of interest as a generalization of the classical results. The structure under investigation eventually reduces to the study of a 4 × 4 matrix Riemann-Hilbert problem: in general this appears not solvable. However, two types of special cases are reducible to 2 × 2 matrix problems that are. These two cases are solved in detail and effective parameters are extracted. Our purpose is two-fold: to explore the matrix Riemann-Hilbert system and to find effective properties of the structure. © The Author 2005. Published by Oxford University Press; all rights reserved. | |
dc.relation.ispartofseries | Quarterly Journal of Mechanics and Applied Mathematics | |
dc.title | A model four-phase square checkerboard structure | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 1 | |
dc.relation.ispartofseries-volume | 59 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 20 | |
dc.source.id | SCOPUS00335614-2006-59-1-SID32244436512 |